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Finding the Fourth Proportional to 1,829.32, 2,754.54 and 1,345.76

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Solution

The fourth proportional to 1,829.32, 2,754.54 and 1,345.76 is: 2,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.32 : 2,754.54 = 1,345.76 : x
  2. Step 2: Convert to fraction form
    1,829.32/2,754.54 = 1,345.76/x
  3. Step 3: Cross multiply
    1,829.32x = 2,754.54 × 1,345.76
  4. Step 4: Simplify right side
    1,829.32x = 3,706,949.75
  5. Step 5: Solve for x
    x = 3,706,949.75/1,829.32
  6. Step 6: Final answer
    x = 2,026.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.